How large should n be to guarantee that the Trapezoidal Rule approximation to L. (- a* – 14a³ – 60x² – lz + 3)dæ is accurate to within 0.1. How large should n be to guarantee that the Simpsons Rule approximation to | (- a* – 14a – 60x² – lz + 3)dæ is accurate to within 0.1. Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n
How large should n be to guarantee that the Trapezoidal Rule approximation to L. (- a* – 14a³ – 60x² – lz + 3)dæ is accurate to within 0.1. How large should n be to guarantee that the Simpsons Rule approximation to | (- a* – 14a – 60x² – lz + 3)dæ is accurate to within 0.1. Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:How large should n be to guarantee that the Trapezoidal Rule approximation to
2
14x3 – 60z?
læ + 3) dæ is accurate to within 0.1.
5
n =
How large should n be to guarantee that the Simpsons Rule approximation to
2
| (- a* – 14x – 60x? – la + 3)dx is accurate to within 0.1.
5
n =
Hint: Remember your answers should be a whole numbers, and Simpson's Rule requires even values for n
Expert Solution
Step 1
The formula for error bound for the trapezoidal rule is
Error bound formula for Simpson's rule is
For Trapezoidal rule
Step by step
Solved in 4 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
